Extensions of Hermite–Hadamard inequalities for harmonically convex functions via generalized fractional integrals View Full Text


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Article Info

DATE

2021-06-07

AUTHORS

Xue-Xiao You, Muhammad Aamir Ali, Hüseyin Budak, Praveen Agarwal, Yu-Ming Chu

ABSTRACT

In the paper, the authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals. Moreover, the authors prove extensions of the Hermite–Hadamard inequality for harmonically convex functions via generalized fractional integrals without using the harmonic convexity property for the functions. The results offered here are the refinements of the existing results for harmonically convex functions. More... »

PAGES

102

References to SciGraph publications

  • 2020-10-02. New fractional approaches for n-polynomial P-convexity with applications in special function theory in ADVANCES IN CONTINUOUS AND DISCRETE MODELS
  • 2019-01-28. On the Hermite–Hadamard type inequality for ψ-Riemann–Liouville fractional integrals via convex functions in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2019-08-06. Some results on integral inequalities via Riemann–Liouville fractional integrals in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2017-07-21. New Hermite–Hadamard-type inequalities for fractional integrals and their applications in REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FÍSICAS Y NATURALES. SERIE A. MATEMÁTICAS
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  • 2021-01-04. On Cesàro and Copson sequence spaces with weights in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2021-01-04. Existence of chaos for partial difference equations via tangent and cotangent functions in ADVANCES IN CONTINUOUS AND DISCRETE MODELS
  • 2019-05. On the Generalization of Some Hermite–Hadamard Inequalities for Functions with Convex Absolute Values of the Second Derivatives Via Fractional Integrals in UKRAINIAN MATHEMATICAL JOURNAL
  • 2018-07-04. Hermite–Hadamard type inequalities for fractional integrals via Green’s function in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2019-01-18. On Fejer Type Inequalities for Convex Mappings Utilizing Fractional Integrals of a Function with Respect to Another Function in RESULTS IN MATHEMATICS
  • 2021-01-06. Quantum Hermite–Hadamard-type inequalities for functions with convex absolute values of second qb-derivatives in ADVANCES IN CONTINUOUS AND DISCRETE MODELS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1186/s13660-021-02638-3

    DOI

    http://dx.doi.org/10.1186/s13660-021-02638-3

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1138669552


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